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Finding the Third Proportional to 65,975,868 and 136,477,368

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Solution

The third proportional to 65,975,868 and 136,477,368 is: 282,316,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975,868 : 136,477,368 = 136,477,368 : x
  2. Step 2: Convert to fraction form
    65,975,868/136,477,368 = 136,477,368/x
  3. Step 3: Cross multiply
    65,975,868x = 136,477,368 × 136,477,368
  4. Step 4: Simplify right side
    65,975,868x = 18,626,071,976,207,424
  5. Step 5: Solve for x
    x = 18,626,071,976,207,424/65,975,868
  6. Step 6: Final answer
    x = 282,316,436.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.